Determining the slope and skew angles related to hip and valley beams can be a challenge made even more difficult when the roof slopes on each side if the hip or valley are different.
Valley angle 6 12 roof.
For example in an equal hip roof with an 8 12 pitch the pitch of the hip rafter would be 8 17.
Draw a diagonal line between 9 feet the run of the main roof on the tongue of the square and 7 feet 6 inches the secondary roof run on the blade.
On blue prints architects engineers usually display the pitch of a roof in the format shown on the image where number 4 represents a rise and number 12 represents a length.
This gives the angle of the hip rafter.
First enter 4 12 for both the main and adjacent roof pitches with an eave angle of 90.
So where two roof sections intersect to form a 90 angle a regular hip or valley and each roof section has for example a 6 in 12 slope the hip or valley rafter at that intersection will have a slope of 6 in 16 97.
In a hip roof with equal pitches the unit run of a hip or valley rafter is 17 inches for every 12 inches of run in the main roof.
This means if a roof rises 4 in the length of 12 your roof pitch would be 4 12 or 18 43 degrees.
Unit run of the hip.
6 12 roof pitch 6 on 12 roof pitch 6 12 roof slope.
The calculated results will give you the main roof hip rafter slope angle 13 26268 and the main roof hip rafter back angle 12 92097.
This slope and skew calculator makes it easy by performing all of the necessary trigonometry for each hanger condition in the roof.